677381364 has 72 divisors (see below), whose sum is σ = 1877820672. Its totient is φ = 204180480.

The previous prime is 677381359. The next prime is 677381387. The reversal of 677381364 is 463183776.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (508032) is a multiple of the sum of its prime divisors (9072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71997 + ... + 80859.

Almost surely, 2^677381364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677381364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938910336).

677381364 is an abundant number, since it is smaller than the sum of its proper divisors (1200439308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677381364 is a wasteful number, since it uses less digits than its factorization.

677381364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077 (or 9072 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 677381364 is about 26026.5511353310. The cubic root of 677381364 is about 878.2356885820.

The spelling of 677381364 in words is "six hundred seventy-seven million, three hundred eighty-one thousand, three hundred sixty-four".